Pith Number

pith:YGGSYQJ2

pith:2015:YGGSYQJ2Q2KWRFGLHNWWOYYBTO

not attested not anchored not stored refs pending

The geometric torsion conjecture for abelian varieties with real multiplication

Benjamin Bakker, Jacob Tsimerman

arxiv:1504.02090 v1 · 2015-04-08 · math.AG · math.DG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGGSYQJ2Q2KWRFGLHNWWOYYBTO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:19:17.263664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18d2c413a86956894cb3b6d6763019b8f1b3c44cb508a81c6cbc91ee02351eb

Aliases

arxiv: 1504.02090 · arxiv_version: 1504.02090v1 · doi: 10.48550/arxiv.1504.02090 · pith_short_12: YGGSYQJ2Q2KW · pith_short_16: YGGSYQJ2Q2KWRFGL · pith_short_8: YGGSYQJ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YGGSYQJ2Q2KWRFGLHNWWOYYBTO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c18d2c413a86956894cb3b6d6763019b8f1b3c44cb508a81c6cbc91ee02351eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9965b67cc76d3ebbf30a03dbfc6578975899f4fbf21ed391fe4fc6d089f6e6",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-08T19:58:41Z",
    "title_canon_sha256": "2fab0eb3b8130e676ccc5de5b22e48398885893156e00c73195f62ee2806c189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02090",
    "kind": "arxiv",
    "version": 1
  }
}